3n=1/9 Find the value of n.​
PLEASE HELP

The speed of the faster car is 40 miles/hr.

both cars travel for same time , so let that time be 't'

car 1 :

distance travelled = 75 miles

let the speed of the car be = x miles/hr

∴ time (t)  = distance / speed

              t  =   75 / x               .............(1)

car 2 :

distance travelled = 100 miles

speed of the car is = x + 10 miles/hr  ( already provided )

∴  time ( t) = distance / speed

            t  = 100/ (x+10)        ..............(2)

    now as the time for both the cases is same  , so we equate eqn (1) and eqn (2) .

∴ 75/x  =  100/ (x+10)

3x + 30 = 4x

x = 30

so the speed of the 1st car will be 30 miles / hr

and the speed of the 2nd car ( faster car ) will  be x + 10 = 40 miles/hr

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The correct number of Standard deviation to generate a confidence interval is therefore 1.65.

Given that;

This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.

Percentage above 1.65 SD equals 100 - 95 = 5.

Now, because of the symmetric distribution,

Percentage above 1.65 SD = % below 1.65 SD is what we can see:

Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%

=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%

=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%

The correct number of SDs to generate a confidence interval is therefore 1.65.

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The domain is x [tex]\geq[/tex] 0. interval notation:  [0,[tex]\infty[/tex])

the range is f(x)≤0, interval notation:  (-[tex]\infty[/tex],0 ]

What are the domain and range of a function?

The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.

A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)

Find domain:

Set the term under the square root [tex]\geq[/tex]0

So, the domain is x [tex]\geq[/tex] 0. interval notation:  [0,[tex]\infty[/tex])

Find range:

The range of a radical function of the form -c√(ax+b) +k is f(x)≤k

So, the range is f(x)≤0

interval notation:  (-[tex]\infty[/tex],0 ]

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Amount of water after x minutes is more in pool B.

Two or more expressions with an Equal sign is called as Equation.

Given,

Pool A started with 5000 liters of water, and 50 liters per minute are being.

Pool B started with 4800 liters of water, and 30 liters per minute are being.

5000-50x=4800-30x

Add 30x on both sides

5000-50x+30x=4800-30x+30x

5000-20x=4800

5000-4800=20x

200=20x

Divide both sides by 20

20=x

Now substitute x in pool A equation

5000-50x

5000-50(20)=5000-1000

Pool A =4000

Now substitute x in pool B equation

4800-30x

4800-30(20)

4800-600

Pool B =4200

4200>4000

Pool B> Pool A

Hence amount of water after x minutes is more in pool B.

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Answer:

[tex]g(x) + h(x) = x^3 + 6x + 5[/tex]

Step-by-step explanation:

We are told that:

[tex]g(x) = x^3 + 5x[/tex]

[tex]h(x) = x + 5[/tex],

and we are asked to find an expression for [tex]g(x) + h(x)[/tex].

In order to find the expression for  [tex]g(x) + h(x)[/tex], we have to simply add the expressions of [tex]g(x)[/tex] and [tex]h(x)[/tex] together:

[tex]g(x) + h(x)[/tex]

= [tex]x^3 + 5x + x + 5[/tex]

= [tex]x^3 + 6x + 5[/tex]

The amount that Charlotte earn per hour on the weekends than she earns during the week is: C. $2.30.

Number of dollars earn per hour during the week = x

Number of dollars earn per hour on the weekend =y

Formulate an equation

13x + 14y = 250.90  Equation 1

15x + 8y = 204.70 Equation 2

Solving  for x and y by multiply equation 1  by -8 and equation 2 by 14 -104x - 112y = -2007.20

210x +112y = 2865.80

106x             = 858.60

Divide both sides by 106x

x = 858.60/106

x =  $8.10

Substitute x into eq 1 so as to solve for y

13(8.10) + 14y = 250.90

105.30 + 14y = 250.90

Subtract 105.30 from both sides

14y = 145.60

Divide both side by 14y

y = 145.60 /14

y  = 10.40

Hence,

Additional earning per hour = y-x

Additional earning per hour = $10.40 - $8.10

Additional earning per hour=$2.30 per hours

Therefore the correct option is C.

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The radius of each of the smaller balls is R = 2r.

You can use a tape measure, for instance, to directly measure the distance around the sphere's widest point. The radius of this circle, which serves as the sphere's circumference, is one. A circle's circumference is computed as 2 x x radius. Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.

Given,

A steel ball is melted down to make eight smaller identical balls. If the radius of the original steel ball was 20 cm:

Let the spherical ball's radius be R.

And with r being the radius of 8 similar balls,

According to the inquiry,

Volume of 8 similar balls = the volume of a larger sphere

3/4πR³ = 8 × 3/4πr³

R³ = 8r³

R = 2r

The radius of each of the smaller balls is R = 2r.

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Answer:

50:75

Step-by-step explanation:

let the ratio of 2:3 be x

now,

125=2+3x

or,5x=125

therefore,x=125/5

                x=25

now,

2x=25*2

   =50

3x=25*3

    =75

No, we cannot find a unique price for an apple and an orange

Let the price of an apple be $x and that of orange be $y.

Condition 1.

They need $10 for 4 apples and 4 oranges.

Then, 4x + 4y = 10

or, 2x + 2y = 5 .....(1)

Condition 2.

They need $12 for 6 apples and 6 oranges.

Then, 6x + 6y = 12

or, 2x + 2y = 5 .....(2)

Two identical linear equations have been discovered.

They do, however, create a system of dependent linear equations that reduces to:

2x + 2y = 5

There are infinite possible solutions to this linear equation.

Thus, we get the conclusion that an apple and an orange cannot have different prices.

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Answer:

2x2x3x5= 60

I hope you like it

Answer:

2 X 2 X 3 X 5

Step-by-step explanation:

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.

The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.

For the given question.

The difference in the percentiles and raw scores is-

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The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is y = 12 - 1.25x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.

The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is

y = 12 - 1.25x.

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Answer:

Y = 3/4x + 0

Step-by-step explanation:

Find the slope of the line = Rise/Run.

[tex]\frac{-3-6}{-4-8}[/tex]  = [tex]\frac{-9}{-12}[/tex]

= 0.75 or 3/4.

Therefore, insert into point slope form using one of the corresponding points; (8, 6) for example;

Y-6 = 3/4(x-8)

= Y-6 = 3/4x-6

and simplify the equation;

Y = 3/4x + 0 also just Y = 3/4x.  

Answer:

.58

Step-by-step explanation:

Answer:

41 pounds of raspberries and 25 pounds of grapes

Step-by-step explanation:

x = pounds of raspberries
y = pounds of grapes

1.50x + 2.75y = 130.25
x + y = 66 --> y = -x + 66

Substitute and solve for x:
 1.50x +2.75(-x +66) = 130.25
1.50x - 2.75x + 181.5 = 130.25
150x - 275x + 18150 = 13025
           -125x +18150 = 13025
                       -125x = -5125
                              x = 41

Substitute x to find y:
41 + y = 66
y = 25

Answer:

There were 41 pounds of raspberries sold and 25 pounds of grapes sold.

Step-by-step explanation:

The perimeter of rectangle ABDC is 61.24 units.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The rectangle ABDC is given in the question which has:

AB = 8 and AC = 24

Here AC is the diagonal of the rectangle which is the hypotenuse in a right triangle.

As per Pythagoras's theorem,

AC² = AB² + BC²

24² = 8² + BC²

576 = 64 + BC²

BC² = 512

BC = 22.62

The perimeter of rectangle ABDC = 2(AB + BC)

The perimeter of rectangle ABDC = 2(8 + 22.62)

The perimeter of rectangle ABDC = 2(30.62)

The perimeter of rectangle ABDC = 61.24 units

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A. Both triangles have two pairs of corresponding sides and a pair of included angles, therefore, ΔABC ≌ ΔABD by SAS.

B. ∠CBA ≌ ∠DBA by CPCTC.

The SAS congruence theorem state that if we have two triangles that we can show that they posses two pairs of corresponding sides that are equal and a pair of included angles that are also equal, then we can state that the two triangles are congruent to each other

When two triangles are proven to be congruent to each other, every corresponding parts of both triangles will be equal to each other based on CPCTC.

Part A:

We are given that AC ≌ AD, and ∠CAB ≌ ∠DAB.

Also, AB ≌ AB based on the reflexive property.

Therefore, both triangles are congruent to each other based on SAS.

ΔABC ≌ ΔABD

Part B:

Since both triangles are congruent, therefore ∠CBA ≌ ∠DBA by CPCTC.

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3x²-2x+5 is the other factor of the above polynomial (6x³-x²+8x+5) other than (2x+1).

In mathematics, a polynomial is an equation made up of coefficients and indeterminates, also referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be utilized to solve it. An example of a polynomial with one uncertain x is x² + 4x + 7.

Polynomials are commonly used in calculations in both mathematics and science. For instance, in the fundamental sciences of chemistry, physics, economics, and social science, they are used to define polynomial functions. They are also used in numerical analysis and calculus to approximate other functions. Simple word problems to complex scientific conundrums are all represented by polynomial equations. Polynomials are used in advanced mathematics.

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1.904 mcg/kg/min is what the client receives.

The number of mcg/kg/minute = flow rate × concentration ÷ mass of client

Flow rate = 12 ml/ hour = 12 /60 = 1/5 = 0.2 ml/min

Formula:

Concentration = mass of dopamine/volume

mass of dopamine = 800mg

volume = 500ml

Concentration = 800/ 500

= 1.6 mg/ml

= 1.6 × 1000 mcg/mg

= 1600 mcg/mg

Here the mass of the client = 70kg

Now calculating mcg/kg/minute = flow rate× concentration÷ mass of client

= 0.08 ml/min × 1600mcg/ml ÷70 kg

= 320/70

= 1.904 mcg/kg/min

Therefore mcg/kg/min is 1.904.

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Answer: -5,5 = B

Step-by-step explanation:

The different-sized groups are three groups of each size (35), five groups of each size (21), and seven groups of each size (15).

Given that;

A landscaper must plant 105 little bushes on a park's grounds. He intends to divide the bushes into equal groups.

We are asked to find what different-sized groups could a landscaper can make.

Here, we use Prime factorization;

Let,

∴ 105 = 3 * 5 * 7

From the above factors, we can find different groups as;

3 groups of each sized 35.

5 groups of each sized 21.

7 groups of each sized 15.

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Answer: ___________________________________________

58/15

Answer:

(y+x)+8

it is expressed like that i think

Answer:

(Y+x)+8

Step-by-step explanation:

Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.

The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.

Here,

weight of potatoes she has=2500 kg

weight of each sack that contain the potatoes=12.5 kg

with this, she can fill,

=2500/12.5

=200 sacks

Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.

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From the given three options the equation y = x^2 + 6 is non - linear.

What is linear equation?

A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.

Consider, the first equation

y = 2^2

⇒ y = 4

Since, the constant equations are linear.

So, first equation is linear.

Consider, second equation

y = 2x - 5

Here, the variable x and y both having degree 1.

So, second equation is also linear.

Consider, third equation

y = x^2 + 6

Here, the variable y having degree 1, but the variable x having degree 2.

Therefore, equation (3) is non - linear.

Hence, the equation y = x^2 - 5 is non - linear.

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I hate to leave you without an answer, but there isn't enough information to be able to answer your problem.

Coppinger Corp is using Scenario Analysis.

Given, that Coppinger Corp is considering the use of a computer to assign probability distributions to the input variables used in the analysis.

The computer would then randomly select input variables from their distributions and calculate npvs based on those selections

Now, A scenario analysis consists of multiple inputs. For eg. a Company may consider how an increase in available fuel can impact their number of goods sold etc.

Here, also Coppinger Corp is assigning multiple values to the computer and getting outputs.

So, this can be the Scenario Analysis.

Hence, Coppinger Corp is using Scenario Analysis.

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Answer:

50

Step-by-step explanation: